A survey in the N.Y. Times Almanac finds the mean commute time(one way) is 25.4 minutes for the 15 largest US cities. The chamberof commerce in a city feels that their commute time is less andwants to publicize this fact. The mean for 25 randomly selectedcommuters is 21.1 minutes with a standard deviation of 5.3 minutes.At the α = 0.10 level, is the city's commute significantly lessthan the mean commute time for the 15 largest US cities? Note: Ifyou are using a Student's t-distribution for the problem, you mayassume that the underlying population is normally distributed. (Ingeneral, you must first prove that assumption, though.) A.) Statethe p-value. (Round your answer to four decimal places.) B.) Statealpha. (Enter an exact number as an integer, fraction, ordecimal.)
